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1220121210020 = 2251012692245429
BaseRepresentation
bin10001110000010100111…
…001000010110010100100
311022122100100022111010012
4101300110321002302210
5124442302012210040
62332303235545352
7154102512110636
oct21602471026244
94278310274105
101220121210020
114304a5683a89
1217857415b258
138b09812123b
14430a8962a56
1521b113ea865
hex11c14e42ca4

1220121210020 has 48 divisors (see below), whose sum is σ = 2597243972400. Its totient is φ = 481419763200.

The previous prime is 1220121210019. The next prime is 1220121210053. The reversal of 1220121210020 is 200121210221.

It can be written as a sum of positive squares in 8 ways, for example, as 95571249316 + 1124549960704 = 309146^2 + 1060448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1220121209977 and 1220121210004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579335 + ... + 1666094.

It is an arithmetic number, because the mean of its divisors is an integer number (54109249425).

Almost surely, 21220121210020 is an apocalyptic number.

1220121210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220121210020 is an abundant number, since it is smaller than the sum of its proper divisors (1377122762380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220121210020 is a wasteful number, since it uses less digits than its factorization.

1220121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245808 (or 2245806 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1220121210020 its reverse (200121210221), we get a palindrome (1420242420241).

The spelling of 1220121210020 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 269 404 505 538 1010 1076 1345 2020 2690 5380 27169 54338 108676 135845 271690 543380 2245429 4490858 8981716 11227145 22454290 44908580 226788329 453576658 604020401 907153316 1133941645 1208040802 2267883290 2416081604 3020102005 4535766580 6040204010 12080408020 61006060501 122012121002 244024242004 305030302505 610060605010 1220121210020